Inhomogeneous Eight-Vertex System and the One-Dimensional Fermi Gas
- 3 August 1981
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 47 (5), 285-288
- https://doi.org/10.1103/physrevlett.47.285
Abstract
It is shown that a proper analytic continuation of eigenvalues of a special inhomogeneous eight-vertex system determines the "phases" and the spectrum of a one-dimensional fermion gas model, and thus provides a particular example of the long suspected connection between factorized matrices and lattice statistical systems.
Keywords
This publication has 15 references indexed in Scilit:
- Diagonalization of the Kondo HamiltonianPhysical Review Letters, 1980
- Renormalisation group analysis of the phase transition in the 2D Coulomb gas, Sine-Gordon theory and XY-modelJournal of Physics A: General Physics, 1980
- Diagonalization of the Chiral-Invariant Gross-Neveu HamiltonianPhysical Review Letters, 1979
- Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory modelsAnnals of Physics, 1979
- On the uniqueness of a purely elastic S-matrix in (1+1) dimensionsPhysics Letters B, 1977
- Equivalence of the sine-Gordon and Thirring models and cumulative mass effectsPhysical Review D, 1977
- Eigenvalue spectrum of interacting massive fermions in one dimensionPhysical Review B, 1976
- Equivalence of a One-Dimensional Fermion Model and the Two-Dimensional Coulomb GasPhysical Review Letters, 1975
- Backward Scattering in the One-Dimensional Electron GasPhysical Review Letters, 1974
- Vertical-Arrow Correlation Length in the Eight-Vertex Model and the Low-Lying Excitations of theHamiltonianPhysical Review A, 1973